1,431 research outputs found
Optical activity induced by curvature in a gravitational pp-wave background
We study optical activity induced by curvature. The optical activity model we
present has two phenomenological gyration parameters, within which we analyze
three model cases, namely, an exactly integrable model, the Landau-Lifshitz
model and the Fedorov model, these latter two are solved in the short
wavelength approximation. The model background is a gravitational pp-wave. The
solutions show that the optical activity induced by curvature leads to Faraday
rotation.Comment: 16 pages, late
Covariant path integral for chiral p-forms
The covariant path integral for chiral bosons obtained by McClain, Wu and Yu
is generalized to chiral p-forms. In order to handle the reducibility of the
gauge transformations associated with the chiral p-forms and with the new
variables (in infinite number) that must be added to eliminate the second class
constraints, the field-antifield formalism is used.Comment: revtex, 9 pages, submitted to Physical Review
Vacuum Energy Cancellation in a Non-supersymmetric String
We present a nonsupersymmetric orbifold of type II string theory and show
that it has vanishing cosmological constant at the one and two loop level. We
argue heuristically that the cancellation persists at higher loops.Comment: 31 pages harvmac big, 6 figures. New version includes the 2-loop
analysis of hep-th/9810129 and elimination of one of the two heuristic
arguments for higher loop cancellatio
On Lorentz Invariant Actions for Chiral P-Forms
We demonstrate how a Lorentz covariant formulation of the chiral p-form model
in D=2(p+1) containing infinitely many auxiliary fields is related to a Lorentz
covariant formulation with only one auxiliary scalar field entering a chiral
p-form action in a nonpolynomial way. The latter can be regarded as a
consistent Lorentz-covariant truncation of the former. We make the Hamiltonian
analysis of the model based on the nonpolynomial action and show that the Dirac
constraints have a simple form and are all of the first class. In contrast to
the Siegel model the constraints are not the square of second-class
constraints. The canonical Hamiltonian is quadratic and determines energy of a
single chiral p-form. In the case of d=2 chiral scalars the constraint can be
improved by use of `twisting' procedure (without the loss of the property to be
of the first class) in such a way that the central charge of the quantum
constraint algebra is zero. This points to possible absence of anomaly in an
appropriate quantum version of the model.Comment: RevTeX file, 7 page
The anomaly line bundle of the self-dual field theory
In this work, we determine explicitly the anomaly line bundle of the abelian
self-dual field theory over the space of metrics modulo diffeomorphisms,
including its torsion part. Inspired by the work of Belov and Moore, we propose
a non-covariant action principle for a pair of Euclidean self-dual fields on a
generic oriented Riemannian manifold. The corresponding path integral allows to
study the global properties of the partition function over the space of metrics
modulo diffeomorphisms. We show that the anomaly bundle for a pair of self-dual
fields differs from the determinant bundle of the Dirac operator coupled to
chiral spinors by a flat bundle that is not trivial if the underlying manifold
has middle-degree cohomology, and whose holonomies are determined explicitly.
We briefly sketch the relevance of this result for the computation of the
global gravitational anomaly of the self-dual field theory, that will appear in
another paper.Comment: 41 pages. v2: A few typos corrected. Version accepted for publication
in CM
Duality in Non-Trivially Compactified Heterotic Strings
We study the implications of duality symmetry on the analyticity properties
of the partition function as it depends upon the compactification length. In
order to obtain non-trivial compactifications, we give a physical prescription
to get the Helmholtz free energy for any heterotic string supersymmetric or
not. After proving that the free energy is always invariant under the duality
transformation and getting the zero temperature
theory whose partition function corresponds to the Helmholtz potential, we show
that the self-dual point is a generic singularity
as the Hagedorn one. The main difference between these two critical
compactification radii is that the term producing the singularity at the
self-dual point is finite for any . We see that this behavior at
actually implies a loss of degrees of freedom below that point.Comment: (Preprint No. FTUAM-92/12) 17 page
Randomized Trial of a Broad Preventive Intervention for Mexican American Adolescents
Objective—This randomized trial of a family-focused preventive intervention for Mexican American (MA) adolescents evaluated intervention effects on adolescent substance use, internalizing and externalizing symptoms, and school discipline and grade records in 8th grade, one year after completion of the intervention. The study also examined hypothesized mediators and moderators of intervention effects. Method—Stratified by language of program delivery (English vs. Spanish), the trial included a sample of 516 MA adolescents (50.8% female; M =12.3 years, SD=.54) and at least one caregiver that were randomized to receive a low dosage control group workshop or the 9-week group intervention that included parenting, adolescent coping, and conjoint family sessions. Results—Positive program effects were found on all five outcomes at one-year posttest, but varied depending on whether adolescents, parents, or teachers reported on the outcome. Intervention effects were mediated by posttest changes in effective parenting, adolescent coping efficacy, adolescent school engagement, and family cohesion. The majority of direct and mediated effects were moderated by language, with a larger number of significant effects for families that participated in Spanish. Intervention effects also were moderated by baseline levels of mediators and outcomes, with the majority showing stronger effects for families with poorer functioning at baseline. Conclusion—Findings support the efficacy of the intervention to decrease multiple problem outcomes for MA adolescents, but also demonstrate differential effects for parents and adolescents receiving the intervention in Spanish vs. English, and depending on their baseline levels of functioning
Yang-Mills Theory as a Deformation of Topological Field Theory, Dimensional Reduction and Quark Confinement
We propose a reformulation of Yang-Mills theory as a perturbative deformation
of a novel topological (quantum) field theory. We prove that this reformulation
of the four-dimensional QCD leads to quark confinement in the sense of area law
of the Wilson loop. First, Yang-Mills theory with a non-Abelian gauge group G
is reformulated as a deformation of a novel topological field theory. Next, a
special class of topological field theories is defined by both BRST and
anti-BRST exact action corresponding to the maximal Abelian gauge leaving the
maximal torus group H of G invariant. Then we find the topological field theory
() has a hidden supersymmetry for a choice of maximal Abelian gauge. As a
result, the D-dimensional topological field theory is equivalent to the
(D-2)-dimensional coset G/H non-linear sigma model in the sense of Parisi and
Sourlas dimensional reduction. After maximal Abelian gauge fixing, the
topological property of magnetic monopole and anti-monopole of four-dimensional
Yang-Mills theory is translated into that of instanton and anti-instanton in
two-dimensional equivalent model. It is shown that the linear static potential
in four-dimensions follows from the instanton--anti-instanton gas in the
equivalent two-dimensional non-linear sigma model obtained from the
four-dimensional topological field theory by dimensional reduction, while the
remaining Coulomb potential comes from the perturbative part in
four-dimensional Yang-Mills theory. The dimensional reduction opens a path for
applying various exact methods developed in two-dimensional quantum field
theory to study the non-perturbative problem in low-energy physics of
four-dimensional quantum field theories.Comment: 58 pages, Latex, no figures, version accepted for publication in
Phys. Rev. D (additions of Discussion, references and minor changes
New possibilities for the gauging of chiral bosons
We study a new mechanism for the electromagnetic gauging of chiral bosons
showing that new possibilities emerge for the interacting theory of chiral
scalars. We introduce a chirally coupled gauge field necessary to mod out the
degree of freedom that obstructs gauge invariance in a system of two opposite
chiral bosons soldering them together.Comment: 11 pages, Latex. Accepted for publication in Physical Review
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